含参广义集值向量均衡问题有效解映射下半连续的最优条件

Optimal conditions for the lower semicontionuity of efficient solution mapping to parametric generalized set-vector equilibrium problems

在实Hausdorff拓扑向量空间中研究一类含参广义集值向量均衡问题弱有效解与有效解映射的下半连续性.在近似锥-次类凸的条件下,运用标量化的方法得到弱有效解的标量化结果.在适当条件下,得到含参广义集值向量均衡问题弱有效解与有效解映射下半连续性定理.

The lower semicontionuity of weak efficient solution and efficient solution mappings to a class of parametric generalized set-vector equilibrium problems in real Hausdorff topological vector spaces are studied.Under the condition of nearly cone-subconvexlike,scalar characterization of weak efficient solution is given by using the scalar method.Under some suitable assumptions,the lower semicontionuity theorem of weak efficient solution and efficient solution mappings to the parametric generalized set-vector equilibrium problems are gained.